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    A deduction involving schematic transitivity ('As are Bs'... — Carmelics
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    Challenges→The syllogism 'if As are Bs and Bs are Cs, then As are Cs' is a perfect deduction in Aristotle's sense

    A deduction involving schematic transitivity ('As are Bs') without quantified categorical form is not obviously self-evident in the dictum de omni sense, requiring additional justification.

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    Key Terms

    Deduction(Notational framework for summarizing logical deductions)
    A structured unit of reasoning consisting of separate stretches of reasoning (Arguments) leading to logically interconnected results (Conclusions)
    dictum de omni(Aristotelian syllogistic theory)
    The logical principle that whatever is predicated of a universal term is predicated of everything falling under that term
    justification(Third condition of the tripartite account of knowledge)
    The condition on a knower's belief that excludes mere luck — the belief must be held in a way that is appropriate or warranted, not merely accidentally correct.
    quantified categorical form(the formal logical structure being contrasted)
    A way of stating logical claims that specifies exactly how many things you're talking about (like 'all dogs are animals' or 'some cats are gray').

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    schematic transitivity(type of logical reasoning being discussed)
    A pattern of reasoning where if A relates to B in some way, and B relates to C, then A relates to C in that same way (like: if John is taller than Mary, and Mary is taller than Sue, then John is taller than Sue).
    self-evident(Reid's epistemology, critiquing the skeptic's reliance on logical principles)
    A belief or principle is self-evident when we cannot help but accept it; self-evidence does not constitute a non-circular justification of the belief or principle.

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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    The syllogism 'if As are Bs and Bs are Cs, then As are Cs' is a perfect deductio...

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